{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10 - Bet Sizing\n",
    "## Introduction\n",
    "Your ML algorithm can achieve high accuracy, but if you do not size your bets properly, your investment strategy will inevitably lose money. This notebook contains the worked exercises from the end of chapter 10 of \"Advances in Financial Machine Learning\" by Marcos López de Prado. The questions are restated here in this notebook, with the accompanying code solutions following directly below each question. All code in this notebook can be run as is and requires no external data, although the algorithm used in exercise 10.4 has been moved to `EF3M\\ef3m.py` to keep this notebook to a reasonable length.\n",
    "## Conclusion\n",
    "This notebook demonstrates different bet sizing algorithms in the sample case of a *long-only* trading strategy. Simply counting and averaging the number of open bets at any given time led to a more aggressive bet sizing than the algorithm based on fit Gaussians to the distribution of open bets, as discussed in exercise 10.4. The EF3M algorithm implemented in `ef3m.py` and applied in exercise 10.4 provides a scalable and accurate way to determine the parameters of a distribution under the assumption that it is a mixture of two Gaussian distributions.\n",
    "## Next Steps\n",
    "While the examples in these exercises were relatively simple, it could be useful to be able to determine the parameters of a distribution under the assumption that it is a mixture of $n$ Gaussian distributions. Generalizing the currently implemented EF3M algorithm to fit to any number of distributions is seen as possible future work."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "----\n",
    "## Exercises\n",
    "Below are the worked solutions to the exercises. All code can be run as is in this notebook, with the exception of exercise 10.4 which requires functions from ´ef3m.py´ (included in this repository). We begin with importing relavant packages and functions to this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# imports\n",
    "import numpy as np\n",
    "\n",
    "from scipy.stats import norm, moment\n",
    "\n",
    "import pandas as pd\n",
    "from dask.diagnostics import ProgressBar\n",
    "ProgressBar().register()  # ready progress bar once in notebook for later calculations\n",
    "from sklearn.neighbors import KernelDensity\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "import seaborn as sns\n",
    "\n",
    "import datetime as dt\n",
    "\n",
    "from EF3M.ef3m import M2N, rawMoment\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.1\n",
    "Using the formulation in Section 10.3, plot the bet size ($m$) as a function of the maximum predicted probability ($\\tilde{p}$) when $||X|| = 2, 3, ..., 10$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_classes_list = [i for i in range(2, 11, 1)]  # array of number of classes, 2 to 10\n",
    "n = 10_000  # number of points to plot\n",
    "colors = iter(cm.coolwarm(np.linspace(0,1,len(num_classes_list))))\n",
    "\n",
    "fig_10_1, ax_10_1 = plt.subplots(figsize=(16, 10))\n",
    "\n",
    "for num_classes in num_classes_list:\n",
    "    min_prob, max_prob = 1 / num_classes, 1  # possible range for maximum predicted probability, [1/||X||, 1]\n",
    "    P = np.linspace(min_prob, max_prob, n, endpoint=False)  # range of maximum predicted probabilities to plot\n",
    "    z = (P - min_prob) / (P*(1-P))**0.5\n",
    "    m = 2 * norm.cdf(z) - 1\n",
    "    ax_10_1.plot(P, m, label=f\"||X||={num_classes}\", linewidth=2, alpha=1, color=colors.__next__())\n",
    "\n",
    "ax_10_1.set_ylabel(\"Bet Size $m=2Z[z]-1$\", fontsize=16)\n",
    "ax_10_1.set_xlabel(r\"Maximum Predicted Probability $\\tilde{p}=max_i${$p_i$}\", fontsize=16)\n",
    "ax_10_1.set_title(\"Figure 10.1: Bet Size vs. Maximum Predicted Probability\", fontsize=18)\n",
    "ax_10_1.set_xticks([0.1*i for i in range(11)])\n",
    "ax_10_1.set_yticks([0.1*i for i in range(11)])\n",
    "ax_10_1.legend(loc=\"upper left\", fontsize=14, title=\"Number of bet size labels\", title_fontsize=12)\n",
    "ax_10_1.set_ylim((0,1.05))\n",
    "ax_10_1.set_xlim((0, 1.05))\n",
    "ax_10_1.grid(linewidth=1, linestyle=':')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.1** shows the bet size vs. the maximum predicted probability given the number of discrete bet size labels. The left-side of each line represents the case in which the maximum probability across the size labels is $\\frac{1}{||X||}$ and all probabilities are equal, leading to a bet size of zero. Note the bet size reaches the limiting value $1.0$ faster at greater values of $||X||$, since the greater number of alternative bets spreads the remaining probability much thinner, leading to a greater confidence in that with the maximum predicted probability."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.2\n",
    "Draw 10,000 random numbers from a uniform distribution with bounds U[.5, 1.]. (Author's note: These exercises are intended to simulate dynamic bet sizing of a long-only strategy.)\n",
    "\n",
    "__(a)__ Compute bet sizes _m_ for $||X||=2$.\n",
    "\n",
    "__(b)__ Assign 10,000 consecutive calendar days to the bet sizes.\n",
    "\n",
    "__(c)__ Draw 10,000 random numbers from a uniform distribution with bounds U[1, 25].\n",
    "\n",
    "__(d)__ Form a `pandas.Series` indexed by the dates in 2.b, and with values equal to the index shifted forward the number of days in 2.c. This is a `t1` object similar to the ones we used in Chapter 3.\n",
    "\n",
    "__(e)__ Compute the resulting average active bets, following Section 10.4.\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The first 10 rows of the resulting DataFrame from Exercise 10.2:\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t1</th>\n",
       "      <th>p</th>\n",
       "      <th>bet_size</th>\n",
       "      <th>num_active_bets</th>\n",
       "      <th>avg_active_bets</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>2000-01-19 23:00:08.486002</td>\n",
       "      <td>0.774407</td>\n",
       "      <td>0.488510</td>\n",
       "      <td>1</td>\n",
       "      <td>0.488510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>2000-01-07 07:47:48.333891</td>\n",
       "      <td>0.857595</td>\n",
       "      <td>0.693816</td>\n",
       "      <td>2</td>\n",
       "      <td>0.591163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>2000-01-13 08:04:38.392503</td>\n",
       "      <td>0.801382</td>\n",
       "      <td>0.550002</td>\n",
       "      <td>3</td>\n",
       "      <td>0.577443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2000-01-05 21:39:27.736493</td>\n",
       "      <td>0.772442</td>\n",
       "      <td>0.484193</td>\n",
       "      <td>4</td>\n",
       "      <td>0.554130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>2000-01-06 06:47:23.055965</td>\n",
       "      <td>0.711827</td>\n",
       "      <td>0.360002</td>\n",
       "      <td>5</td>\n",
       "      <td>0.515304</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>2000-01-30 21:51:01.058622</td>\n",
       "      <td>0.822947</td>\n",
       "      <td>0.602473</td>\n",
       "      <td>5</td>\n",
       "      <td>0.538960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>2000-01-19 17:12:04.590144</td>\n",
       "      <td>0.718794</td>\n",
       "      <td>0.373496</td>\n",
       "      <td>5</td>\n",
       "      <td>0.541659</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-08</th>\n",
       "      <td>2000-01-17 22:17:10.550572</td>\n",
       "      <td>0.945887</td>\n",
       "      <td>0.951258</td>\n",
       "      <td>5</td>\n",
       "      <td>0.593148</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-09</th>\n",
       "      <td>2000-01-14 16:59:42.455288</td>\n",
       "      <td>0.981831</td>\n",
       "      <td>0.999691</td>\n",
       "      <td>6</td>\n",
       "      <td>0.660905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>2000-01-30 08:56:33.839416</td>\n",
       "      <td>0.691721</td>\n",
       "      <td>0.321986</td>\n",
       "      <td>7</td>\n",
       "      <td>0.612488</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   t1         p  bet_size  num_active_bets  \\\n",
       "2000-01-01 2000-01-19 23:00:08.486002  0.774407  0.488510                1   \n",
       "2000-01-02 2000-01-07 07:47:48.333891  0.857595  0.693816                2   \n",
       "2000-01-03 2000-01-13 08:04:38.392503  0.801382  0.550002                3   \n",
       "2000-01-04 2000-01-05 21:39:27.736493  0.772442  0.484193                4   \n",
       "2000-01-05 2000-01-06 06:47:23.055965  0.711827  0.360002                5   \n",
       "2000-01-06 2000-01-30 21:51:01.058622  0.822947  0.602473                5   \n",
       "2000-01-07 2000-01-19 17:12:04.590144  0.718794  0.373496                5   \n",
       "2000-01-08 2000-01-17 22:17:10.550572  0.945887  0.951258                5   \n",
       "2000-01-09 2000-01-14 16:59:42.455288  0.981831  0.999691                6   \n",
       "2000-01-10 2000-01-30 08:56:33.839416  0.691721  0.321986                7   \n",
       "\n",
       "            avg_active_bets  \n",
       "2000-01-01         0.488510  \n",
       "2000-01-02         0.591163  \n",
       "2000-01-03         0.577443  \n",
       "2000-01-04         0.554130  \n",
       "2000-01-05         0.515304  \n",
       "2000-01-06         0.538960  \n",
       "2000-01-07         0.541659  \n",
       "2000-01-08         0.593148  \n",
       "2000-01-09         0.660905  \n",
       "2000-01-10         0.612488  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Summary statistics on the bet size columns:\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>bet_size</th>\n",
       "      <th>num_active_bets</th>\n",
       "      <th>avg_active_bets</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.473318</td>\n",
       "      <td>13.375000</td>\n",
       "      <td>0.474666</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.312169</td>\n",
       "      <td>1.987302</td>\n",
       "      <td>0.083719</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000058</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.162298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.199764</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.415641</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.429563</td>\n",
       "      <td>13.000000</td>\n",
       "      <td>0.474385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.740689</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>0.532511</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>0.775612</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           bet_size  num_active_bets  avg_active_bets\n",
       "count  10000.000000     10000.000000     10000.000000\n",
       "mean       0.473318        13.375000         0.474666\n",
       "std        0.312169         1.987302         0.083719\n",
       "min        0.000058         1.000000         0.162298\n",
       "25%        0.199764        12.000000         0.415641\n",
       "50%        0.429563        13.000000         0.474385\n",
       "75%        0.740689        15.000000         0.532511\n",
       "max        1.000000        20.000000         0.775612"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw random numbers from a uniform distribution (all bets are long)\n",
    "np.random.seed(0)\n",
    "sample_size = 10_000\n",
    "P_t = np.random.uniform(.5, 1., sample_size)  # array of random from uniform dist.\n",
    "\n",
    "\n",
    "# 10.2(a) Compute bet sizes for ||X||=2\n",
    "z = (P_t - 0.5) /  (P_t*(1-P_t))**0.5\n",
    "m = 2 * norm.cdf(z) - 1  # bet sizes, x=1\n",
    "\n",
    "\n",
    "# 10.2(b) assign 10,000 consecutive calendar days\n",
    "start_date = dt.datetime(2000, 1, 1)  # starting at 01-JAN-2000\n",
    "date_step = dt.timedelta(days=1)\n",
    "dates = np.array([start_date + i*date_step for i in range(sample_size)])\n",
    "bet_sizes = pd.Series(data=m, index=dates)\n",
    "\n",
    "\n",
    "# 10.2(c) draw 10,000 random numbers from a uniform distribution\n",
    "shift_list = np.random.uniform(1., 25., sample_size)\n",
    "shift_dt = np.array([dt.timedelta(days=d) for d in shift_list])\n",
    "\n",
    "\n",
    "# 10.2(d) create a pandas.Series object\n",
    "dates_shifted = dates + shift_dt\n",
    "t1 = pd.Series(data=dates_shifted, index=dates)\n",
    "\n",
    "# Collect the series into a single DataFrame.\n",
    "# Add a randomized 'side' indicator so we have both long and short bets.\n",
    "df_events = pd.concat(objs=[t1, bet_sizes], axis=1)\n",
    "df_events = df_events.rename(columns={0: 't1', 1: 'bet_size'})\n",
    "df_events['p'] = P_t\n",
    "df_events = df_events[['t1', 'p', 'bet_size']]\n",
    "\n",
    "\n",
    "# 10.2(e) compute the average active bets\n",
    "avg_bet = pd.Series()\n",
    "active_bets = pd.Series()\n",
    "for idx, val in t1.iteritems():\n",
    "    active_idx = t1[(t1.index<=idx)&(t1>idx)].index\n",
    "    num_active = len(active_idx)\n",
    "    active_bets[idx] = num_active\n",
    "    avg_bet[idx] = bet_sizes[active_idx].mean()\n",
    "\n",
    "df_events['num_active_bets'] = active_bets\n",
    "df_events['avg_active_bets'] = avg_bet\n",
    "\n",
    "\n",
    "print(\"The first 10 rows of the resulting DataFrame from Exercise 10.2:\")\n",
    "display(df_events.head(10))\n",
    "print(\"Summary statistics on the bet size columns:\")\n",
    "display(df_events[['bet_size', 'num_active_bets', 'avg_active_bets']].describe())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.3\n",
    "Using the `t1` object from exercise 2.d:\n",
    "\n",
    "__(a)__ Determine the maximum number of concurrent long bets, $\\bar{c_l}$.\n",
    "\n",
    "__(b)__ Determine the maximum number of concurrent short bets, $\\bar{c_s}$.\n",
    "\n",
    "__(c)__ Derive the bet size as $m_t = c_{t,l}\\frac{1}{\\bar{c_l}} - c_{t,s}\\frac{1}{\\bar{c_s}}$, where $c_{t,l}$ is the number of concurrent long bets at time $t$, and $c_{t,s}$ is the number of concurrent short bets at time $t$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  10.3(a) Maximum number of concurrent long bets: 20\n",
      "  10.3(b) Maximum number of concurrent short bets: 0\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>t1</th>\n",
       "      <th>p</th>\n",
       "      <th>bet_size</th>\n",
       "      <th>num_active_bets</th>\n",
       "      <th>avg_active_bets</th>\n",
       "      <th>active_long</th>\n",
       "      <th>active_short</th>\n",
       "      <th>bet_sizes2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-01</th>\n",
       "      <td>2000-01-19 23:00:08.486002</td>\n",
       "      <td>0.774407</td>\n",
       "      <td>0.488510</td>\n",
       "      <td>1</td>\n",
       "      <td>0.488510</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-02</th>\n",
       "      <td>2000-01-07 07:47:48.333891</td>\n",
       "      <td>0.857595</td>\n",
       "      <td>0.693816</td>\n",
       "      <td>2</td>\n",
       "      <td>0.591163</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>2000-01-13 08:04:38.392503</td>\n",
       "      <td>0.801382</td>\n",
       "      <td>0.550002</td>\n",
       "      <td>3</td>\n",
       "      <td>0.577443</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>2000-01-05 21:39:27.736493</td>\n",
       "      <td>0.772442</td>\n",
       "      <td>0.484193</td>\n",
       "      <td>4</td>\n",
       "      <td>0.554130</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>2000-01-06 06:47:23.055965</td>\n",
       "      <td>0.711827</td>\n",
       "      <td>0.360002</td>\n",
       "      <td>5</td>\n",
       "      <td>0.515304</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>2000-01-30 21:51:01.058622</td>\n",
       "      <td>0.822947</td>\n",
       "      <td>0.602473</td>\n",
       "      <td>5</td>\n",
       "      <td>0.538960</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>2000-01-19 17:12:04.590144</td>\n",
       "      <td>0.718794</td>\n",
       "      <td>0.373496</td>\n",
       "      <td>5</td>\n",
       "      <td>0.541659</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-08</th>\n",
       "      <td>2000-01-17 22:17:10.550572</td>\n",
       "      <td>0.945887</td>\n",
       "      <td>0.951258</td>\n",
       "      <td>5</td>\n",
       "      <td>0.593148</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-09</th>\n",
       "      <td>2000-01-14 16:59:42.455288</td>\n",
       "      <td>0.981831</td>\n",
       "      <td>0.999691</td>\n",
       "      <td>6</td>\n",
       "      <td>0.660905</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>0.30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>2000-01-30 08:56:33.839416</td>\n",
       "      <td>0.691721</td>\n",
       "      <td>0.321986</td>\n",
       "      <td>7</td>\n",
       "      <td>0.612488</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "      <td>0.35</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                   t1         p  bet_size  num_active_bets  \\\n",
       "2000-01-01 2000-01-19 23:00:08.486002  0.774407  0.488510                1   \n",
       "2000-01-02 2000-01-07 07:47:48.333891  0.857595  0.693816                2   \n",
       "2000-01-03 2000-01-13 08:04:38.392503  0.801382  0.550002                3   \n",
       "2000-01-04 2000-01-05 21:39:27.736493  0.772442  0.484193                4   \n",
       "2000-01-05 2000-01-06 06:47:23.055965  0.711827  0.360002                5   \n",
       "2000-01-06 2000-01-30 21:51:01.058622  0.822947  0.602473                5   \n",
       "2000-01-07 2000-01-19 17:12:04.590144  0.718794  0.373496                5   \n",
       "2000-01-08 2000-01-17 22:17:10.550572  0.945887  0.951258                5   \n",
       "2000-01-09 2000-01-14 16:59:42.455288  0.981831  0.999691                6   \n",
       "2000-01-10 2000-01-30 08:56:33.839416  0.691721  0.321986                7   \n",
       "\n",
       "            avg_active_bets  active_long  active_short  bet_sizes2  \n",
       "2000-01-01         0.488510            1             0        0.05  \n",
       "2000-01-02         0.591163            2             0        0.10  \n",
       "2000-01-03         0.577443            3             0        0.15  \n",
       "2000-01-04         0.554130            4             0        0.20  \n",
       "2000-01-05         0.515304            5             0        0.25  \n",
       "2000-01-06         0.538960            5             0        0.25  \n",
       "2000-01-07         0.541659            5             0        0.25  \n",
       "2000-01-08         0.593148            5             0        0.25  \n",
       "2000-01-09         0.660905            6             0        0.30  \n",
       "2000-01-10         0.612488            7             0        0.35  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 10.3(a) max number of concurrent long bets\n",
    "df_events2 = df_events.copy()\n",
    "active_long = pd.Series()\n",
    "active_short = pd.Series()\n",
    "\n",
    "for idx in df_events2.index:\n",
    "    # long bets are defined as having a prediction probability greater than or equal to 0.5\n",
    "    df_long_active_idx = set(df_events2[(df_events2.index<=idx) & (df_events2.t1>idx) & (df_events2.p>=0.5)].index)\n",
    "    active_long[idx] = len(df_long_active_idx)\n",
    "    # short bets are defined as having a prediction probability less than 0.5\n",
    "    df_short_active_idx = set(df_events2[(df_events2.index<=idx) & (df_events2.t1>idx) & (df_events2.p<0.5)].index)\n",
    "    active_short[idx] = len(df_short_active_idx)\n",
    "\n",
    "\n",
    "print(f\"  10.3(a) Maximum number of concurrent long bets: {active_long.max()}\")\n",
    "\n",
    "# 10.3(b) max number of concurrent short bets\n",
    "# p[x=1]: U[0.5, 1], thus all bets are long, and the \n",
    "# number of concurrent short bets is always zero in this exercise.\n",
    "print(f\"  10.3(b) Maximum number of concurrent short bets: {active_short.max()}\")\n",
    "\n",
    "\n",
    "# 10.3(c) bet size as difference between fractions of concurrent long and short bets\n",
    "# Handle possible division by zero.\n",
    "avg_active_long = active_long/active_long.max() if active_long.max() > 0 else active_long\n",
    "avg_active_short = active_short/active_short.max() if active_short.max() > 0 else active_short\n",
    "bet_sizes_2 = avg_active_long - avg_active_short\n",
    "\n",
    "df_events2 = df_events2.assign(active_long=active_long,\n",
    "                               active_short=active_short,\n",
    "                               bet_sizes2=bet_sizes_2)\n",
    "display(df_events2.head(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the frequency of different bet sizes\n",
    "fig_10_3, ax_10_3 = plt.subplots(figsize=(16, 8))\n",
    "colors = iter(cm.coolwarm(np.linspace(0,1,3)))\n",
    "n_bins = 50\n",
    "for i, col in enumerate(['bet_size', 'avg_active_bets', 'bet_sizes2']):\n",
    "    ax_10_3.hist(df_events2[col], bins=n_bins, alpha=0.75, color=colors.__next__(), label=col)\n",
    "ax_10_3.set_xticks([i/10 for i in range(11)])\n",
    "ax_10_3.set_xlabel(\"Column value\", fontsize=12)\n",
    "ax_10_3.set_ylabel(\"Value count\", fontsize=12)\n",
    "ax_10_3.set_title(\"Figure 10.3: Visualization of distribution of values from exercise 10.3\", fontsize=16)\n",
    "ax_10_3.legend(loc=\"upper left\", fontsize=14, title=\"Column distribution\", title_fontsize=12)\n",
    "fig_10_3.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.3** visualizes the distributions of bet sizes found in the DataFrame as of exercise 10.3. `bet_size` is the bet size calculated from predicted probilities, $m=2Z[z]-1$, as in section 10.3, and runs between $[0, 1]$ as seen in **Figure 10.1**. `avg_active_bets` is the average of the values of active bets in `bet_size` at any given time. Values for `bet_sizes2` are calculated as described in section 10.2, and take on 20 discrete values since the maximum number of concurrent bets is 20 and the minimum is 1 (there is always at least one active bet). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.4\n",
    "Using the `t1` object from exercise 2.d:\n",
    "\n",
    "__(a)__ Compute the series $c_t = c_{t,l} - c_{t,s}$, where $c_{t,l}$ is the number of concurrent long bets at time $t$, and $c_{t,s}$ is the number of concurrent short bets at time $t$.\n",
    "\n",
    "__(b)__ Fit a mixture of two Gaussians on {$c_t$}. You may want to use the method described in López de Prado and Foreman (2014).\n",
    "\n",
    "__(c)__ Derive the bet size as $$m_t = \\begin{cases} \\frac{F[c_t]-F[0]}{1-F[0]}, & \\text{if } c_t\\geq 0\\\\\\\n",
    "                                                     \\frac{F[c_t]-F[0]}{F[0]}, & \\text{if } c_t\\le 0\n",
    "\\end{cases}$$\n",
    "where $F[x]$ is the CDF of the fitted mixture of two Gaussians for a value of $x$.\n",
    "\n",
    "__(d)__ Explain how this series ${m_t}$ differ from the bet size computed in exercise 3.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 10.4(a) compute the series c_t = c_{t,l} (all bets are long)\n",
    "# ======================================================\n",
    "df_events2['c_t'] = df_events2.active_long - 0  # number of short bets is always zero\n",
    "fig_10_4, ax_10_4 = plt.subplots(figsize=(10,6))\n",
    "ax_10_4a = sns.distplot(df_events2['c_t'], bins=20, kde=True, kde_kws={\"bw\":0.6}, norm_hist=False, ax=ax_10_4)\n",
    "ax_10_4a.set_xlabel('$c_t$', fontsize=12)\n",
    "ax_10_4.set_ylabel(\"Value counts\", fontsize=12)\n",
    "ax_10_4a.set_title(\"Figure 10.4(a): Distribution of series $c_t$\", fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.4(a)** shows the distribution of the number of concurrent long bets at any given time $t$. Note the slightly longer tail to the left due to the maximum number of bets being limiting in the start of the sequence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean (first raw moment): 13.375\n",
      "First 5 centered moments\n",
      "E[r^1] = 0.0\n",
      "E[r^2] = 3.948975\n",
      "E[r^3] = -0.33733125\n",
      "E[r^4] = 51.253873828125\n",
      "E[r^5] = -78.8945244140625\n"
     ]
    }
   ],
   "source": [
    "# 10.4(b) fit a mixture of 2 Gaussians\n",
    "# compute the first 5 centered moments\n",
    "# ======================================================\n",
    "print(f\"Mean (first raw moment): {df_events2.c_t.mean()}\")\n",
    "print(\"First 5 centered moments\")\n",
    "mmnts = [moment(df_events2.c_t.to_numpy(), moment=i) for i in range(1, 6)]\n",
    "for i, mnt in enumerate(mmnts):\n",
    "    print(f\"E[r^{i+1}] = {mnt}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The EF3M algorithm that we plan to implment uses the first 5 raw moments, so we must convert the centered moments (just previously calculated) to raw moments using the `rawMoment` function from `ef3m.py`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "E_Raw[r^1]=13.375\n",
      "E_Raw[r^2]=182.8396\n",
      "E_Raw[r^3]=2550.7774\n",
      "E_Raw[r^4]=36273.67\n",
      "E_Raw[r^5]=525255.703\n"
     ]
    }
   ],
   "source": [
    "# Calculate raw moments from centered moments\n",
    "# ======================================================\n",
    "raw_mmnts = rawMoment(central_moments=mmnts, dist_mean=df_events2.c_t.mean())\n",
    "for i, mnt in enumerate(raw_mmnts):\n",
    "    print(f\"E_Raw[r^{i+1}]={mnt}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have the first 5 raw moments, we can apply the EF3M algorithm. We use variant 2 since we have the 5th moment, and it converges faster in practice. While the first 3 moments are fit exactly, there is not a unqiue solution to this, so we have to make multple runs to find the most likely value. We visualize the results of the fitted parameters in histograms, and use a kernel density estimate to identify the most likely value for each parameter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[########################################] | 100% Completed |  2min 16.9s\n",
      "[########################################] | 100% Completed | 27min 47.5s\n",
      "=== Values chosen based on the mode of the distribution of results from EF3M (50 runs) ===\n",
      "Most probable estimate for parameter 'mu1': 12.574\n",
      "Most probable estimate for parameter 'mu2': 13.39\n",
      "Most probable estimate for parameter 'sigma1': 3.306\n",
      "Most probable estimate for parameter 'sigma2': 1.95\n",
      "Most probable estimate for parameter 'p1': 0.017\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x864 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# On an Intel i7-7700K with 32GB RAM, execution times are as follows:\n",
    "# 10 runs will take approximately 6 minutes\n",
    "# 100 runs will take approximately 1 hour\n",
    "# 1000 runs will take approximately 9 hours\n",
    "# ======================================================\n",
    "n_runs = 50\n",
    "m2n = M2N(raw_mmnts)\n",
    "df_10_4 = m2n.mpFit(raw_mmnts, epsilon=10**-5, factor=5, n_runs=n_runs, variant=2, maxIter=10_000_000)\n",
    "\n",
    "\n",
    "# Visualize results and determine the most likely values from a KDE plot\n",
    "# ======================================================\n",
    "fig_10_4b, ax_10_4b = plt.subplots(nrows=5, ncols=1, figsize=(8,12))\n",
    "cols = ['mu1', 'mu2', 'sigma1', 'sigma2', 'p1']\n",
    "bins = int(n_runs / 4)  # to minimize number of bins without results, choose at own discretion\n",
    "fit_parameters = []\n",
    "\n",
    "print(f\"=== Values chosen based on the mode of the distribution of results from EF3M ({n_runs} runs) ===\")\n",
    "\n",
    "for col_i, ax in enumerate(ax_10_4b.flatten()):\n",
    "    col = cols[col_i]\n",
    "    df = df_10_4.copy()\n",
    "    df[col+'_bin'] = pd.cut(df[col], bins=bins)\n",
    "    df = df.groupby([col+'_bin']).count()\n",
    "    ax = sns.distplot(df_10_4[col], bins=bins, kde=True, ax=ax)\n",
    "    dd = ax.get_lines()[0].get_data()\n",
    "    most_probable_val = dd[0][np.argmax(dd[1])]\n",
    "    fit_parameters.append(most_probable_val)\n",
    "    ax.set_ylabel(\"Value count\")\n",
    "    ax.set_xlabel(f\"Estimated value of parameter: {col}\")\n",
    "    ax.axvline(most_probable_val, color='red', alpha=0.6)\n",
    "    ax.set_title(f\"{col}: {round(most_probable_val,3)}\", color='red')\n",
    "    print(f\"Most probable estimate for parameter '{col}':\", round(dd[0][np.argmax(dd[1])], 3))\n",
    "fig_10_4b.suptitle(f\"Figure 10.4(b): Results of running {n_runs} EF3M fitting rounds\", fontsize=14)\n",
    "fig_10_4b.tight_layout(pad=3.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.4(b)** shows the distribution of the parameter estimates from the fitting rounds. The red vertical line indicates the most likely value for each parameter according to the KDE, with the estimated value stated above the subplot in red."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The CDF of a [mixture of $n$ distributions](https://en.wikipedia.org/wiki/Mixture_distribution), $F_{mixture}(x)$, can be represented as the weighted sum of the individual distributions:\n",
    "$$ F_{mixture}(x) = \\sum_{i=1}^{n}{w_i F_{i, norm}(x)}$$\n",
    "Where $w_i$ are the weights corresponding to each of the individual cumulative distribution functions of a normal distribution, $F_{i,norm}(x)$.\n",
    "\n",
    "Thus, for the mixture of $n=2$ distributions in this question, the CDF of the mixture, $F(x)$, is:\n",
    "$$ F(x) = p_1 F_{norm}(x, \\mu_1, \\sigma_1) + (1-p_1) F_{norm}(x, \\mu_2, \\sigma_2) $$\n",
    "Where $F_{norm}(x, \\mu_i, \\sigma_i)$ is the cumulative distribution evaluated at $x$ of a Normal distribution with parameters $\\mu_i$ and $\\sigma_i$, and $p_1$ is the probability of a given random sample being drawn from the first distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>c_t</th>\n",
       "      <th>bet_sizes2</th>\n",
       "      <th>bet_sizes3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "      <td>10000.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>13.375000</td>\n",
       "      <td>0.668750</td>\n",
       "      <td>0.498150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>1.987302</td>\n",
       "      <td>0.099365</td>\n",
       "      <td>0.290257</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.050000</td>\n",
       "      <td>0.000003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.241321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>13.000000</td>\n",
       "      <td>0.650000</td>\n",
       "      <td>0.422952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>15.000000</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.794925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>20.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.999441</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                c_t    bet_sizes2    bet_sizes3\n",
       "count  10000.000000  10000.000000  10000.000000\n",
       "mean      13.375000      0.668750      0.498150\n",
       "std        1.987302      0.099365      0.290257\n",
       "min        1.000000      0.050000      0.000003\n",
       "25%       12.000000      0.600000      0.241321\n",
       "50%       13.000000      0.650000      0.422952\n",
       "75%       15.000000      0.750000      0.794925\n",
       "max       20.000000      1.000000      0.999441"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 10.4(c) Calculating the bet size using the mixture of 2 Gaussians\n",
    "# ======================================================\n",
    "\n",
    "def cdf_mixture(x, parameters):\n",
    "    # the CDF of a mixture of 2 normal distributions, evaluated at x\n",
    "    # :param x: (float) x-value\n",
    "    # :param parameters: (list) mixture parameters, [mu1, mu2, sigma1, sigma2, p1]\n",
    "    # :return: (float) CDF of the mixture\n",
    "    # ===================================\n",
    "    mu1, mu2, sigma1, sigma2, p1 = parameters  # for clarity\n",
    "    return p1*norm.cdf(x, mu1, sigma1) + (1-p1)*norm.cdf(x, mu2, sigma2)\n",
    "\n",
    "def bet_size_mixed(c_t, parameters):\n",
    "    # return the bet size based on the description provided in\n",
    "    # question 10.4(c).\n",
    "    # :param c_t: (int) different of the number of concurrent long bets minus short bets\n",
    "    # :param parameters: (list) mixture parameters, [mu1, mu2, sigma1, sigma2, p1]\n",
    "    # :return: (float) bet size\n",
    "    # =========================\n",
    "    if c_t >= 0:\n",
    "        return ( cdf_mixture(c_t, parameters) - cdf_mixture(0, parameters) ) / ( 1 - cdf_mixture(0, parameters) )\n",
    "    else:\n",
    "        ( cdf_mixture(c_t, parameters) - cdf_mixture(0, parameters) ) / cdf_mixture(0, parameters)\n",
    "\n",
    "df_events2['bet_sizes3'] = df_events2.c_t.apply(lambda c: bet_size_mixed(c, fit_parameters))\n",
    "fig_10_4c, ax_10_4c = plt.subplots(figsize=(10,6))\n",
    "for c in ['bet_sizes2', 'bet_sizes3']:\n",
    "    ax_10_4c.hist(df_events2[c].to_numpy(), bins=100, label=c, alpha=0.7)\n",
    "ax_10_4c.legend(loc='upper left', fontsize=12, title=\"Bet size type\", title_fontsize=10)\n",
    "ax_10_4c.set_xlabel(\"Bet Size, $m_t$\", fontsize=12)\n",
    "ax_10_4c.set_ylabel(\"Value count\", fontsize=12)\n",
    "ax_10_4c.set_title(\"Figure 10.4(c): Bet Size distributions from exercises 10.3 and 10.4\", fontsize=14)\n",
    "display(df_events2[['c_t', 'bet_sizes2', 'bet_sizes3']].describe())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.4(c)** shows the distribution of bet sizes as calculated in exercises 10.3 and 10.4. `bet_sizes2` is the number of active bets divided by the maximum number of active bets, while `bet_sizes3` is the bet sizes calculated using the fit mixture of 2 Gaussian distributions. Note that both are 20 discrete values due to the underlying data as previously discussed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**10.4(d) Discussion**\n",
    "\n",
    "The bet size distribution calculated in exercise 3, `bet_sizes2`, and exercise 4, `bet_sizes3`, are both made up of discrete values. Since the series $\\{c_t\\}$ is made up of integers between 1 and 20, the bet size from exercise 3, $m_t=c_{t,l}\\frac{1}{\\tilde{c_l}}$, is also a set of discrete values bounded by $[\\frac{1}{\\tilde{c_l}}, 1]$ (since there is always at least 1 active bet for any given $t$). However, $98\\%$ of all bet sizes fall between $[0.45, 0.9]$, with a mean at $0.67$.\n",
    "\n",
    "In exercise 4 the bet size is calculated using $c_t$ as an input, which results in the bet sizes being a series composed of 20 unique values. Here the bet size values are bounded by $(0, 1)$ but are spread out more evenly across the range than in exercise 3; here $98\\%$ of the bet sizes fall between $[0.014, 0.998]$, with a lower mean of $0.50$.\n",
    "\n",
    "Even though we are examining a *long-only* betting strategy, the bet sizes calculated in exercise 4 typically get much closer to zero (i.e. not placing the bet at all), whereas in exercise 3 $99\\%$ of all bet sizes are at least $0.45$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Quantiles of the bet size values as calculated in the previous exercises:\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>p</th>\n",
       "      <th>bet_size</th>\n",
       "      <th>num_active_bets</th>\n",
       "      <th>avg_active_bets</th>\n",
       "      <th>active_long</th>\n",
       "      <th>active_short</th>\n",
       "      <th>bet_sizes2</th>\n",
       "      <th>c_t</th>\n",
       "      <th>bet_sizes3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.001</th>\n",
       "      <td>0.500363</td>\n",
       "      <td>0.000580</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.229428</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.35</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.001311</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.010</th>\n",
       "      <td>0.504100</td>\n",
       "      <td>0.006542</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.284154</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.45</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.014406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.050</th>\n",
       "      <td>0.523658</td>\n",
       "      <td>0.037781</td>\n",
       "      <td>10.0</td>\n",
       "      <td>0.338003</td>\n",
       "      <td>10.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.50</td>\n",
       "      <td>10.0</td>\n",
       "      <td>0.044152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.250</th>\n",
       "      <td>0.622655</td>\n",
       "      <td>0.199764</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.415641</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.60</td>\n",
       "      <td>12.0</td>\n",
       "      <td>0.241321</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.500</th>\n",
       "      <td>0.746751</td>\n",
       "      <td>0.429563</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.474385</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.65</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.422952</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.750</th>\n",
       "      <td>0.874146</td>\n",
       "      <td>0.740689</td>\n",
       "      <td>15.0</td>\n",
       "      <td>0.532511</td>\n",
       "      <td>15.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.75</td>\n",
       "      <td>15.0</td>\n",
       "      <td>0.794925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.950</th>\n",
       "      <td>0.974606</td>\n",
       "      <td>0.997446</td>\n",
       "      <td>17.0</td>\n",
       "      <td>0.613095</td>\n",
       "      <td>17.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.85</td>\n",
       "      <td>17.0</td>\n",
       "      <td>0.966883</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.990</th>\n",
       "      <td>0.994703</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>18.0</td>\n",
       "      <td>0.663246</td>\n",
       "      <td>18.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.90</td>\n",
       "      <td>18.0</td>\n",
       "      <td>0.990229</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.999</th>\n",
       "      <td>0.999551</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>19.0</td>\n",
       "      <td>0.714011</td>\n",
       "      <td>19.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.95</td>\n",
       "      <td>19.0</td>\n",
       "      <td>0.997572</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              p  bet_size  num_active_bets  avg_active_bets  active_long  \\\n",
       "0.001  0.500363  0.000580              7.0         0.229428          7.0   \n",
       "0.010  0.504100  0.006542              9.0         0.284154          9.0   \n",
       "0.050  0.523658  0.037781             10.0         0.338003         10.0   \n",
       "0.250  0.622655  0.199764             12.0         0.415641         12.0   \n",
       "0.500  0.746751  0.429563             13.0         0.474385         13.0   \n",
       "0.750  0.874146  0.740689             15.0         0.532511         15.0   \n",
       "0.950  0.974606  0.997446             17.0         0.613095         17.0   \n",
       "0.990  0.994703  1.000000             18.0         0.663246         18.0   \n",
       "0.999  0.999551  1.000000             19.0         0.714011         19.0   \n",
       "\n",
       "       active_short  bet_sizes2   c_t  bet_sizes3  \n",
       "0.001           0.0        0.35   7.0    0.001311  \n",
       "0.010           0.0        0.45   9.0    0.014406  \n",
       "0.050           0.0        0.50  10.0    0.044152  \n",
       "0.250           0.0        0.60  12.0    0.241321  \n",
       "0.500           0.0        0.65  13.0    0.422952  \n",
       "0.750           0.0        0.75  15.0    0.794925  \n",
       "0.950           0.0        0.85  17.0    0.966883  \n",
       "0.990           0.0        0.90  18.0    0.990229  \n",
       "0.999           0.0        0.95  19.0    0.997572  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Quantiles of the bet size values as calculated in the previous exercises:\")\n",
    "display(df_events2.quantile([0.001, 0.01, 0.05, 0.25, 0.5, 0.75, 0.95, 0.99, 0.999]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.5\n",
    "Repeat exercise 1, where you discretize $m$ with a `stepSize=.01`, `setpSize=.05`, and `stepSize=.1`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1152 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_classes_list = [i for i in range(2, 11, 1)]  # array of number of classes, 2 to 10\n",
    "n = 10000  # number of points to plot\n",
    "\n",
    "\n",
    "fig_10_5, ax_10_5 = plt.subplots(2, 2, figsize=(20, 16))\n",
    "ax_10_5 = fig_10_5.get_axes()\n",
    "d_list = [None, 0.01, 0.05, 0.1]\n",
    "d = d_list[2]\n",
    "sub_fig_num = ['i', 'ii', 'iii', 'iv']\n",
    "\n",
    "for i, axi in enumerate(ax_10_5):\n",
    "    colors = iter(cm.coolwarm(np.linspace(0,1,len(num_classes_list))))\n",
    "    for num_classes in num_classes_list:\n",
    "        d = d_list[i]\n",
    "        min_prob, max_prob = 1 / num_classes, 1  # possible range for maximum predicted probability, [1/||X||, 1]\n",
    "        P = np.linspace(min_prob, max_prob, n, endpoint=False)  # range of maximum predicted probabilities to plot\n",
    "        z = (P - min_prob) / (P*(1-P))**0.5\n",
    "        m = 2 * norm.cdf(z) - 1\n",
    "        if not isinstance(d, type(None)):\n",
    "            m = (m/d).round()*d\n",
    "        axi.plot(P, m, label=f\"||X||={num_classes}\", linewidth=2, alpha=1, color=colors.__next__())\n",
    "\n",
    "    axi.set_ylabel(\"Bet Size $m=2Z[z]-1$\", fontsize=14)\n",
    "    axi.set_xlabel(r\"Maximum Predicted Probability $\\tilde{p}=max_i${$p_i$}\", fontsize=14)\n",
    "    axi.set_xticks([0.1*i for i in range(11)])\n",
    "    axi.set_yticks([0.1*i for i in range(11)])\n",
    "    axi.legend(loc=\"upper left\", fontsize=10, title=\"Number of bet size labels\", title_fontsize=11)\n",
    "    axi.set_ylim((0,1.05))\n",
    "    axi.set_xlim((0, 1.05))\n",
    "    if not isinstance(d, type(None)):\n",
    "        axi.set_title(f\"({sub_fig_num[i]}) Discretized Bet Size, d={d}\", fontsize=16)\n",
    "    else:\n",
    "        axi.set_title(f\"({sub_fig_num[i]}) Continuous Bet Size\", fontsize=16)\n",
    "    axi.grid(linewidth=1, linestyle=':')\n",
    "\n",
    "fig_10_5.suptitle(\"Figure 10.5: Plots where bet size $m$ is discretized\", fontsize=18)\n",
    "fig_10_5.tight_layout(pad=4)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.5** shows the bet size calculated from predicted probabilities using (i) a continuous bet size, as well as bet sizes discretized by step sizes of (ii) $d=0.01$, (iii) $d=0.05$, and (iv) $d=0.1$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.6\n",
    "Rewrite the equations in Section 10.6, so that the bet size is determined by a power function rather than a sigmoid function."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can substitute a power function to calculate bet size, $\\tilde{m}$:\n",
    "\n",
    "$$\\tilde{m}[\\omega, x] = sgn[x]|x|^\\omega$$\n",
    "\n",
    "$L[f_i, \\omega, \\tilde{m}]$, the inverse function of $\\tilde{m}[\\omega, x]$ with respect to the market price $p_t$, can be rewritten as:\n",
    "\n",
    "$$L[f_i, \\omega, \\tilde{m}] = f_i - sgn[\\tilde{m}]|\\tilde{m}|^{1/\\omega}$$\n",
    "\n",
    "The inverse of $\\tilde{m}[\\omega, x]$ with respect to $\\omega$ can be rewritten as:\n",
    "\n",
    "$$\\omega = \\frac{log[\\frac{\\tilde{m}}{sgn(x)}]}{log[|x|]}$$\n",
    "\n",
    "Where $x = f_i - p_t$ is still the divergence between the current market price, $p_t$, and the price forecast, $f_i$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "#### EXERCISE 10.7\n",
    "Modify Snippet 10.4 so that in implements the equations you derived in exercise 6."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Snippet 10.4, modified to use a power function for the Bet Size\n",
    "# ===============================================================\n",
    "# pos    : current position\n",
    "# tPos   : target position\n",
    "# w      : coefficient for regulating width of the bet size function (sigmoid, power)\n",
    "# f      : forecast price\n",
    "# mP     : market price\n",
    "# x      : divergence, f - mP\n",
    "# maxPos : maximum absolute position size\n",
    "# ===============================================================\n",
    "\n",
    "def betSize_power(w, x):\n",
    "    # returns the bet size given the price divergence\n",
    "    sgn = np.sign(x)\n",
    "    return sgn * abs(x)**w\n",
    "\n",
    "def getTPos_power(w, f, mP, maxPos):\n",
    "    # returns the target position size associated with the given forecast price\n",
    "    return int( betSize_power(w, f-mP)*maxPos )\n",
    "\n",
    "def invPrice_power(f, w, m):\n",
    "    # inverse function of bet size with respect to the market price\n",
    "    sgn = np.sign(m)\n",
    "    return f - sgn*abs(m)**(1/w)\n",
    "\n",
    "def limitPrice_power(tPos, pos, f, w, maxPos):\n",
    "    # returns the limit price given forecast price\n",
    "    sgn = np.sign(tPos-pos)\n",
    "    lP = 0\n",
    "    for j in range(abs(pos+sgn), abs(tPos+1)):\n",
    "        lP += invPrice_power(f, w, j/float(maxPos))\n",
    "    lP = lP / (tPos-pos)\n",
    "    return lP\n",
    "\n",
    "def getW_power(x, m):\n",
    "    # inverse function of the bet size with respect to the 'w' coefficient\n",
    "    return np.log(m/np.sign(x)) / np.log(abs(x))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Market price: 100; Result of inverse price: 100.00000000000003; Diff: 2.842170943040401e-14\n",
      "w: -0.02227639471115225; Result of inverse w: -0.022276394711152232; Diff: 1.734723475976807e-17\n"
     ]
    }
   ],
   "source": [
    "# a short script to check calculations forwards and backwards\n",
    "# ===============================================================\n",
    "mP, f, wParams = 100, 115, {'divergence': 10, 'm': 0.95}\n",
    "w = getW_power(wParams['divergence'], wParams['m'])  # calibrate w\n",
    "\n",
    "# checking forward and backward calculations\n",
    "m_test = betSize_power(w, f-mP)\n",
    "mP_test = invPrice_power(f, w, m_test)\n",
    "w_test = getW_power(f-mP, m_test)\n",
    "print(f\"Market price: {mP}; Result of inverse price: {mP_test}; Diff: {abs(mP-mP_test)}\")\n",
    "print(f\"w: {w}; Result of inverse w: {w_test}; Diff: {abs(w-w_test)}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# setup data for replicating Figure 10.3\n",
    "mP, f, wParams = 100, 115, {'divergence': 10, 'm': 0.95}\n",
    "n_points = 1000\n",
    "X = np.linspace(-1.0, 1.0, n_points)\n",
    "\n",
    "w = 2\n",
    "bet_sizes_power = np.array([betSize_power(w, xi) for xi in X])\n",
    "\n",
    "# plotting\n",
    "fig_10_7, ax_10_7 = plt.subplots(figsize=(10,8))\n",
    "ax_10_7.plot(X, bet_sizes_power, label='$f[x]=sgn[x]|x|^2$', color='blue', linestyle='-')\n",
    "ax_10_7.set_xlabel(\"$x$\", fontsize=16)\n",
    "ax_10_7.set_ylabel(\"$f[x]$\", fontsize=16)\n",
    "ax_10_7.set_xlim((-1, 1))\n",
    "ax_10_7.set_ylim((-1, 1))\n",
    "fig_10_7.suptitle(\"Figure 10.7: Bet Sizes vs. Price Divergence\", fontsize=18)\n",
    "plt.legend(loc='upper left', fontsize=16)\n",
    "fig_10_7.tight_layout(pad=3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure 10.7** shows a plot of bet size vs. price divergence using the same parameters as Figure 10.3 on page 148 of \"Advances in Financial Machine Learning\"."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
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 },
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 "nbformat_minor": 2
}
